$38)$ A carousel that is $5\mathrm{.}00$ m in radius has a pair of $\backslash (600-\backslash$mathrm$\{$Hz$\}\backslash )$ sirens mounted on posts at opposite ends of a diameter. The carousel rotates with an angular velocity of $\backslash (0\mathrm{.}800\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash ).$ A stationary listener is located at a distance from the carousel. The speed of sound is $\backslash (350\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The longest wavelength reaching the listener from the sirens is closest to

A$)57\mathrm{.}0$ cm $.$

B$)57\mathrm{.}7$ cm $.$

C$)58\mathrm{.}3$ cm $.$

D$)59\mathrm{.}0$ cm $.$

E$)59\mathrm{.}6$ cm $.$

Answer: D

Var: $1$